What is the solution to the system of linear equations? 2x + y =7. x- 2y = 16

ANSWER

(6,-5)

EXPLANATION

The given system has equations:

2x + y =7...(1)

x- 2y = 16...(2)

We multiply equation (1) by 2 to get,

4x+2y=14...(3)

We add equations (2) and (3) to obtain,

4x+x+2y-2y=14+16

This implies that,

5x= 30

Divide both sides by 5,

x=6

We substitute x=6 into equation (1) to get,

2(6) +y=7

12+y=7

y=7-12

y=-5

The solution is (6,-5)

i believe the correct answer is b.